@Misc{ DweSan18, author = { Dweik, Samer and Santambrogio, Filippo }, title = { $L^p$ bounds for boundary-to-boundary transport densities, and $W^{1,p}$ bounds for the BV least gradient problem in 2D }, journal = { Calculus of Variations and PDE's }, year = { 2018 }, pages = { }, URL = { http://cvgmt.sns.it/paper/3792/ }, note = { cvgmt preprint} }